Grasshopper
Karamba3D
Karamba3D is a parametric structural engineering tool which provides accurate analysis of spatial trusses, frames and shells.
Current Version: 1.3.2 (July 9 2019)
Bending Moment Utilization Caculations
Hello,
I'm trying to calculate the bending moment utilization for a CHSC to verify how Karamba's utilization element performs its analysis. I've performed hand calculations according to Eurocode 3 (BS EN 1993-1-1:2005), which have matched perfectly for the shear force utilization, but which are slightly (~10%) off for bending moment utilization. I have tried multiple Class 1 and 3 cross sections, using the plastic and elastic section modulus respectively as outlined in section 6.2.5, but my result for bending moment utilization is always slightly off. It always lies somewhere between the result predicted by the elastic section modulus (pi*(R^4-r^4)/(4R)) and the plastic section modulus ((D^3-d^3)/6), which has made me wonder if Karamba is using some combination of the two in calculating utilization. I have also checked if using the reduced yield strength considered in 6.2.8 (Bending and Shear) helps, but this does not match the Karamba output either.
The Grasshopper file I am basing my calculations on is attached. Thanks in advance for any insight you can give!
Best,
Tess
Karamba3D
Hello Tess,
the calculation of the utilization of beams according to Eurocode 3 is quite lengthy. Therefore I have attached the C++ sourcecode for its determination as used in Karamba. There are mostly formulas in the file 'CroSecStateImp_EC3.cpp' so you do not need to know any C++ language details. The file can be opened in a text editor and contains comments and references to the formulas in EC3.
In order to see some itermediate results, set 'Details?' to 'true' on the 'Utilization'-component (see attached definition).
Best,
Clemens
Aug 15, 2016
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